The Relationship between Control Sets of Affine Systems and of Their Homogeneous Parts
Abstract. For affine control systems on [Formula: see text] with bounded control range, the control sets are related to those of the homogeneous part. Furthermore, the structure of the chain control sets is described using the spectral theory of the associated control flow.
Authors
- Fritz Colonius (ORCID: https://orcid.org/0000-0003-3853-6065)
- Alexandre J. Santana
Institutions
- Universidade Estadual de Maringá (BR)
- University of Augsburg (DE)
Publication Details
- Journal
- SIAM Journal on Control and Optimization
- Published
- 2026-07-23
- DOI
- https://doi.org/10.1137/25m1810891
- Primary Topic
- Control and Dynamics of Mobile Robots
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Conselho Nacional de Desenvolvimento Científico e Tecnológico